59131648900 has 27 divisors (see below), whose sum is σ = 128320955119. Its totient is φ = 23651686880.

The previous prime is 59131648847. The next prime is 59131648903. The reversal of 59131648900 is 984613195.

The square root of 59131648900 is 243170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 117635716 + 59014013184 = 10846^2 + 242928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59131648903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2419542 + ... + 2443858.

Almost surely, 2^59131648900 is an apocalyptic number.

59131648900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59131648900 is the 243170-th square number.

It is an amenable number.

59131648900 is an abundant number, since it is smaller than the sum of its proper divisors (69189306219).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59131648900 is an frugal number, since it uses more digits than its factorization.

59131648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48648 (or 24324 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 59131648900 in words is "fifty-nine billion, one hundred thirty-one million, six hundred forty-eight thousand, nine hundred".